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Finding the Fourth Proportional to 7,710.48, 11,568.31 and 3,547.35

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Solution

The fourth proportional to 7,710.48, 11,568.31 and 3,547.35 is: 5,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.48 : 11,568.31 = 3,547.35 : x
  2. Step 2: Convert to fraction form
    7,710.48/11,568.31 = 3,547.35/x
  3. Step 3: Cross multiply
    7,710.48x = 11,568.31 × 3,547.35
  4. Step 4: Simplify right side
    7,710.48x = 41,036,831.68
  5. Step 5: Solve for x
    x = 41,036,831.68/7,710.48
  6. Step 6: Final answer
    x = 5,322.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.