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Finding the Fourth Proportional to 7,618.02, 10,509.90 and 4,784.18

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Solution

The fourth proportional to 7,618.02, 10,509.90 and 4,784.18 is: 6,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.02 : 10,509.90 = 4,784.18 : x
  2. Step 2: Convert to fraction form
    7,618.02/10,509.90 = 4,784.18/x
  3. Step 3: Cross multiply
    7,618.02x = 10,509.90 × 4,784.18
  4. Step 4: Simplify right side
    7,618.02x = 50,281,253.38
  5. Step 5: Solve for x
    x = 50,281,253.38/7,618.02
  6. Step 6: Final answer
    x = 6,600.30

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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.