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Finding the Fourth Proportional to 10,526.67, 14,527.80 and 7,869.51

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Solution

The fourth proportional to 10,526.67, 14,527.80 and 7,869.51 is: 10,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.67 : 14,527.80 = 7,869.51 : x
  2. Step 2: Convert to fraction form
    10,526.67/14,527.80 = 7,869.51/x
  3. Step 3: Cross multiply
    10,526.67x = 14,527.80 × 7,869.51
  4. Step 4: Simplify right side
    10,526.67x = 114,326,667.38
  5. Step 5: Solve for x
    x = 114,326,667.38/10,526.67
  6. Step 6: Final answer
    x = 10,860.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.