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Finding the Fourth Proportional to 10,598.13, 14,627.45 and 7,013.16

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Solution

The fourth proportional to 10,598.13, 14,627.45 and 7,013.16 is: 9,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.13 : 14,627.45 = 7,013.16 : x
  2. Step 2: Convert to fraction form
    10,598.13/14,627.45 = 7,013.16/x
  3. Step 3: Cross multiply
    10,598.13x = 14,627.45 × 7,013.16
  4. Step 4: Simplify right side
    10,598.13x = 102,584,612.18
  5. Step 5: Solve for x
    x = 102,584,612.18/10,598.13
  6. Step 6: Final answer
    x = 9,679.50

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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.