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Finding the Fourth Proportional to 10,948.60, 16,413.90 and 4,713.40

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Solution

The fourth proportional to 10,948.60, 16,413.90 and 4,713.40 is: 7,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.60 : 16,413.90 = 4,713.40 : x
  2. Step 2: Convert to fraction form
    10,948.60/16,413.90 = 4,713.40/x
  3. Step 3: Cross multiply
    10,948.60x = 16,413.90 × 4,713.40
  4. Step 4: Simplify right side
    10,948.60x = 77,365,276.26
  5. Step 5: Solve for x
    x = 77,365,276.26/10,948.60
  6. Step 6: Final answer
    x = 7,066.23

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Why These Related Problems?

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