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Finding the Fourth Proportional to 10,147.17, 15,242.76 and 8,590.35

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Solution

The fourth proportional to 10,147.17, 15,242.76 and 8,590.35 is: 12,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.17 : 15,242.76 = 8,590.35 : x
  2. Step 2: Convert to fraction form
    10,147.17/15,242.76 = 8,590.35/x
  3. Step 3: Cross multiply
    10,147.17x = 15,242.76 × 8,590.35
  4. Step 4: Simplify right side
    10,147.17x = 130,940,643.37
  5. Step 5: Solve for x
    x = 130,940,643.37/10,147.17
  6. Step 6: Final answer
    x = 12,904.15

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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.