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Finding the Fourth Proportional to 15,607.91, 23,413.46 and 5,077.50

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Solution

The fourth proportional to 15,607.91, 23,413.46 and 5,077.50 is: 7,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607.91 : 23,413.46 = 5,077.50 : x
  2. Step 2: Convert to fraction form
    15,607.91/23,413.46 = 5,077.50/x
  3. Step 3: Cross multiply
    15,607.91x = 23,413.46 × 5,077.50
  4. Step 4: Simplify right side
    15,607.91x = 118,881,817.76
  5. Step 5: Solve for x
    x = 118,881,817.76/15,607.91
  6. Step 6: Final answer
    x = 7,616.77

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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.