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Finding the Fourth Proportional to 10,404.68, 15,603.58 and 5,207

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Solution

The fourth proportional to 10,404.68, 15,603.58 and 5,207 is: 7,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.68 : 15,603.58 = 5,207 : x
  2. Step 2: Convert to fraction form
    10,404.68/15,603.58 = 5,207/x
  3. Step 3: Cross multiply
    10,404.68x = 15,603.58 × 5,207
  4. Step 4: Simplify right side
    10,404.68x = 81,247,841.06
  5. Step 5: Solve for x
    x = 81,247,841.06/10,404.68
  6. Step 6: Final answer
    x = 7,808.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.