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Finding the Fourth Proportional to 7,233.36, 9,990.72 and 5,464.32

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Solution

The fourth proportional to 7,233.36, 9,990.72 and 5,464.32 is: 7,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.36 : 9,990.72 = 5,464.32 : x
  2. Step 2: Convert to fraction form
    7,233.36/9,990.72 = 5,464.32/x
  3. Step 3: Cross multiply
    7,233.36x = 9,990.72 × 5,464.32
  4. Step 4: Simplify right side
    7,233.36x = 54,592,491.11
  5. Step 5: Solve for x
    x = 54,592,491.11/7,233.36
  6. Step 6: Final answer
    x = 7,547.32

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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.