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Finding the Fourth Proportional to 10,931.10, 16,413.93 and 8,632.86

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Solution

The fourth proportional to 10,931.10, 16,413.93 and 8,632.86 is: 12,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.10 : 16,413.93 = 8,632.86 : x
  2. Step 2: Convert to fraction form
    10,931.10/16,413.93 = 8,632.86/x
  3. Step 3: Cross multiply
    10,931.10x = 16,413.93 × 8,632.86
  4. Step 4: Simplify right side
    10,931.10x = 141,699,159.74
  5. Step 5: Solve for x
    x = 141,699,159.74/10,931.10
  6. Step 6: Final answer
    x = 12,962.94

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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.