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Finding the Fourth Proportional to 10,607.13, 14,637.17 and 6,130.16

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Solution

The fourth proportional to 10,607.13, 14,637.17 and 6,130.16 is: 8,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.13 : 14,637.17 = 6,130.16 : x
  2. Step 2: Convert to fraction form
    10,607.13/14,637.17 = 6,130.16/x
  3. Step 3: Cross multiply
    10,607.13x = 14,637.17 × 6,130.16
  4. Step 4: Simplify right side
    10,607.13x = 89,728,090.21
  5. Step 5: Solve for x
    x = 89,728,090.21/10,607.13
  6. Step 6: Final answer
    x = 8,459.22

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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.