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Finding the Fourth Proportional to 10,506.16, 14,492.28 and 7,376.32

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Solution

The fourth proportional to 10,506.16, 14,492.28 and 7,376.32 is: 10,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.16 : 14,492.28 = 7,376.32 : x
  2. Step 2: Convert to fraction form
    10,506.16/14,492.28 = 7,376.32/x
  3. Step 3: Cross multiply
    10,506.16x = 14,492.28 × 7,376.32
  4. Step 4: Simplify right side
    10,506.16x = 106,899,694.81
  5. Step 5: Solve for x
    x = 106,899,694.81/10,506.16
  6. Step 6: Final answer
    x = 10,174.95

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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.