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Finding the Fourth Proportional to 7,298.32, 10,071.71 and 4,111.65

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Solution

The fourth proportional to 7,298.32, 10,071.71 and 4,111.65 is: 5,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.32 : 10,071.71 = 4,111.65 : x
  2. Step 2: Convert to fraction form
    7,298.32/10,071.71 = 4,111.65/x
  3. Step 3: Cross multiply
    7,298.32x = 10,071.71 × 4,111.65
  4. Step 4: Simplify right side
    7,298.32x = 41,411,350.72
  5. Step 5: Solve for x
    x = 41,411,350.72/7,298.32
  6. Step 6: Final answer
    x = 5,674.10

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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.