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Finding the Fourth Proportional to 10,526.84, 14,526.66 and 5,810.84

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Solution

The fourth proportional to 10,526.84, 14,526.66 and 5,810.84 is: 8,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.84 : 14,526.66 = 5,810.84 : x
  2. Step 2: Convert to fraction form
    10,526.84/14,526.66 = 5,810.84/x
  3. Step 3: Cross multiply
    10,526.84x = 14,526.66 × 5,810.84
  4. Step 4: Simplify right side
    10,526.84x = 84,412,096.99
  5. Step 5: Solve for x
    x = 84,412,096.99/10,526.84
  6. Step 6: Final answer
    x = 8,018.75

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