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Finding the Fourth Proportional to 11,807.16, 16,301.71 and 7,337.58

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Solution

The fourth proportional to 11,807.16, 16,301.71 and 7,337.58 is: 10,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.16 : 16,301.71 = 7,337.58 : x
  2. Step 2: Convert to fraction form
    11,807.16/16,301.71 = 7,337.58/x
  3. Step 3: Cross multiply
    11,807.16x = 16,301.71 × 7,337.58
  4. Step 4: Simplify right side
    11,807.16x = 119,615,101.26
  5. Step 5: Solve for x
    x = 119,615,101.26/11,807.16
  6. Step 6: Final answer
    x = 10,130.73

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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.