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Finding the Fourth Proportional to 10,376.18, 14,302.06 and 7,352.32

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Solution

The fourth proportional to 10,376.18, 14,302.06 and 7,352.32 is: 10,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.18 : 14,302.06 = 7,352.32 : x
  2. Step 2: Convert to fraction form
    10,376.18/14,302.06 = 7,352.32/x
  3. Step 3: Cross multiply
    10,376.18x = 14,302.06 × 7,352.32
  4. Step 4: Simplify right side
    10,376.18x = 105,153,267.64
  5. Step 5: Solve for x
    x = 105,153,267.64/10,376.18
  6. Step 6: Final answer
    x = 10,134.10

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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.