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Finding the Fourth Proportional to 7,152.19, 9,870.56 and 4,501.87

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Solution

The fourth proportional to 7,152.19, 9,870.56 and 4,501.87 is: 6,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.19 : 9,870.56 = 4,501.87 : x
  2. Step 2: Convert to fraction form
    7,152.19/9,870.56 = 4,501.87/x
  3. Step 3: Cross multiply
    7,152.19x = 9,870.56 × 4,501.87
  4. Step 4: Simplify right side
    7,152.19x = 44,435,977.95
  5. Step 5: Solve for x
    x = 44,435,977.95/7,152.19
  6. Step 6: Final answer
    x = 6,212.92

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