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Finding the Fourth Proportional to 11,373.16, 15,693.16 and 6,335.76

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Solution

The fourth proportional to 11,373.16, 15,693.16 and 6,335.76 is: 8,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,373.16 : 15,693.16 = 6,335.76 : x
  2. Step 2: Convert to fraction form
    11,373.16/15,693.16 = 6,335.76/x
  3. Step 3: Cross multiply
    11,373.16x = 15,693.16 × 6,335.76
  4. Step 4: Simplify right side
    11,373.16x = 99,428,095.40
  5. Step 5: Solve for x
    x = 99,428,095.40/11,373.16
  6. Step 6: Final answer
    x = 8,742.35

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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.