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Finding the Fourth Proportional to 10,437.16, 15,658.14 and 3,417.40

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Solution

The fourth proportional to 10,437.16, 15,658.14 and 3,417.40 is: 5,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.16 : 15,658.14 = 3,417.40 : x
  2. Step 2: Convert to fraction form
    10,437.16/15,658.14 = 3,417.40/x
  3. Step 3: Cross multiply
    10,437.16x = 15,658.14 × 3,417.40
  4. Step 4: Simplify right side
    10,437.16x = 53,510,127.64
  5. Step 5: Solve for x
    x = 53,510,127.64/10,437.16
  6. Step 6: Final answer
    x = 5,126.89

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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.