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Finding the Fourth Proportional to 7,384.64, 10,187.68 and 4,588.52

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Solution

The fourth proportional to 7,384.64, 10,187.68 and 4,588.52 is: 6,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.64 : 10,187.68 = 4,588.52 : x
  2. Step 2: Convert to fraction form
    7,384.64/10,187.68 = 4,588.52/x
  3. Step 3: Cross multiply
    7,384.64x = 10,187.68 × 4,588.52
  4. Step 4: Simplify right side
    7,384.64x = 46,746,373.43
  5. Step 5: Solve for x
    x = 46,746,373.43/7,384.64
  6. Step 6: Final answer
    x = 6,330.22

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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.