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Finding the Fourth Proportional to 11,547.60, 15,935.67 and 6,831.90

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Solution

The fourth proportional to 11,547.60, 15,935.67 and 6,831.90 is: 9,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.60 : 15,935.67 = 6,831.90 : x
  2. Step 2: Convert to fraction form
    11,547.60/15,935.67 = 6,831.90/x
  3. Step 3: Cross multiply
    11,547.60x = 15,935.67 × 6,831.90
  4. Step 4: Simplify right side
    11,547.60x = 108,870,903.87
  5. Step 5: Solve for x
    x = 108,870,903.87/11,547.60
  6. Step 6: Final answer
    x = 9,428.01

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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.