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Finding the Fourth Proportional to 10,413.64, 15,624.12 and 6,513.52

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Solution

The fourth proportional to 10,413.64, 15,624.12 and 6,513.52 is: 9,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.64 : 15,624.12 = 6,513.52 : x
  2. Step 2: Convert to fraction form
    10,413.64/15,624.12 = 6,513.52/x
  3. Step 3: Cross multiply
    10,413.64x = 15,624.12 × 6,513.52
  4. Step 4: Simplify right side
    10,413.64x = 101,768,018.10
  5. Step 5: Solve for x
    x = 101,768,018.10/10,413.64
  6. Step 6: Final answer
    x = 9,772.57

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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.