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Finding the Fourth Proportional to 10,575.59, 14,587.70 and 6,803.67

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Solution

The fourth proportional to 10,575.59, 14,587.70 and 6,803.67 is: 9,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.59 : 14,587.70 = 6,803.67 : x
  2. Step 2: Convert to fraction form
    10,575.59/14,587.70 = 6,803.67/x
  3. Step 3: Cross multiply
    10,575.59x = 14,587.70 × 6,803.67
  4. Step 4: Simplify right side
    10,575.59x = 99,249,913.87
  5. Step 5: Solve for x
    x = 99,249,913.87/10,575.59
  6. Step 6: Final answer
    x = 9,384.81

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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.