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Finding the Fourth Proportional to 7,812.04, 10,780.50 and 4,275.16

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Solution

The fourth proportional to 7,812.04, 10,780.50 and 4,275.16 is: 5,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.04 : 10,780.50 = 4,275.16 : x
  2. Step 2: Convert to fraction form
    7,812.04/10,780.50 = 4,275.16/x
  3. Step 3: Cross multiply
    7,812.04x = 10,780.50 × 4,275.16
  4. Step 4: Simplify right side
    7,812.04x = 46,088,362.38
  5. Step 5: Solve for x
    x = 46,088,362.38/7,812.04
  6. Step 6: Final answer
    x = 5,899.66

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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.