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Finding the Fourth Proportional to 10,564.53, 14,575.47 and 6,088.14

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Solution

The fourth proportional to 10,564.53, 14,575.47 and 6,088.14 is: 8,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.53 : 14,575.47 = 6,088.14 : x
  2. Step 2: Convert to fraction form
    10,564.53/14,575.47 = 6,088.14/x
  3. Step 3: Cross multiply
    10,564.53x = 14,575.47 × 6,088.14
  4. Step 4: Simplify right side
    10,564.53x = 88,737,501.93
  5. Step 5: Solve for x
    x = 88,737,501.93/10,564.53
  6. Step 6: Final answer
    x = 8,399.57

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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.