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Finding the Fourth Proportional to 7,152.65, 9,869.00 and 4,503.54

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Solution

The fourth proportional to 7,152.65, 9,869.00 and 4,503.54 is: 6,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.65 : 9,869.00 = 4,503.54 : x
  2. Step 2: Convert to fraction form
    7,152.65/9,869.00 = 4,503.54/x
  3. Step 3: Cross multiply
    7,152.65x = 9,869.00 × 4,503.54
  4. Step 4: Simplify right side
    7,152.65x = 44,445,413.74
  5. Step 5: Solve for x
    x = 44,445,413.74/7,152.65
  6. Step 6: Final answer
    x = 6,213.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.