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Finding the Fourth Proportional to 10,283.76, 15,413.24 and 4,729.50

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Solution

The fourth proportional to 10,283.76, 15,413.24 and 4,729.50 is: 7,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.76 : 15,413.24 = 4,729.50 : x
  2. Step 2: Convert to fraction form
    10,283.76/15,413.24 = 4,729.50/x
  3. Step 3: Cross multiply
    10,283.76x = 15,413.24 × 4,729.50
  4. Step 4: Simplify right side
    10,283.76x = 72,896,918.58
  5. Step 5: Solve for x
    x = 72,896,918.58/10,283.76
  6. Step 6: Final answer
    x = 7,088.55

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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.