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Finding the Fourth Proportional to 7,280.64, 10,045.73 and 4,627.08

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Solution

The fourth proportional to 7,280.64, 10,045.73 and 4,627.08 is: 6,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.64 : 10,045.73 = 4,627.08 : x
  2. Step 2: Convert to fraction form
    7,280.64/10,045.73 = 4,627.08/x
  3. Step 3: Cross multiply
    7,280.64x = 10,045.73 × 4,627.08
  4. Step 4: Simplify right side
    7,280.64x = 46,482,373.23
  5. Step 5: Solve for x
    x = 46,482,373.23/7,280.64
  6. Step 6: Final answer
    x = 6,384.38

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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.