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Finding the Fourth Proportional to 7,710.60, 11,547.26 and 4,413.70

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Solution

The fourth proportional to 7,710.60, 11,547.26 and 4,413.70 is: 6,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.60 : 11,547.26 = 4,413.70 : x
  2. Step 2: Convert to fraction form
    7,710.60/11,547.26 = 4,413.70/x
  3. Step 3: Cross multiply
    7,710.60x = 11,547.26 × 4,413.70
  4. Step 4: Simplify right side
    7,710.60x = 50,966,141.46
  5. Step 5: Solve for x
    x = 50,966,141.46/7,710.60
  6. Step 6: Final answer
    x = 6,609.88

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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.