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Finding the Fourth Proportional to 10,404.48, 14,357.88 and 5,688.66

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Solution

The fourth proportional to 10,404.48, 14,357.88 and 5,688.66 is: 7,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.48 : 14,357.88 = 5,688.66 : x
  2. Step 2: Convert to fraction form
    10,404.48/14,357.88 = 5,688.66/x
  3. Step 3: Cross multiply
    10,404.48x = 14,357.88 × 5,688.66
  4. Step 4: Simplify right side
    10,404.48x = 81,677,097.64
  5. Step 5: Solve for x
    x = 81,677,097.64/10,404.48
  6. Step 6: Final answer
    x = 7,850.19

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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.