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Finding the Fourth Proportional to 7,048.26, 9,718.62 and 4,530.78

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Solution

The fourth proportional to 7,048.26, 9,718.62 and 4,530.78 is: 6,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.26 : 9,718.62 = 4,530.78 : x
  2. Step 2: Convert to fraction form
    7,048.26/9,718.62 = 4,530.78/x
  3. Step 3: Cross multiply
    7,048.26x = 9,718.62 × 4,530.78
  4. Step 4: Simplify right side
    7,048.26x = 44,032,929.12
  5. Step 5: Solve for x
    x = 44,032,929.12/7,048.26
  6. Step 6: Final answer
    x = 6,247.35

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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.