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Finding the Fourth Proportional to 7,708.68, 11,565.35 and 3,264.06

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Solution

The fourth proportional to 7,708.68, 11,565.35 and 3,264.06 is: 4,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.68 : 11,565.35 = 3,264.06 : x
  2. Step 2: Convert to fraction form
    7,708.68/11,565.35 = 3,264.06/x
  3. Step 3: Cross multiply
    7,708.68x = 11,565.35 × 3,264.06
  4. Step 4: Simplify right side
    7,708.68x = 37,749,980.00
  5. Step 5: Solve for x
    x = 37,749,980.00/7,708.68
  6. Step 6: Final answer
    x = 4,897.07

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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.