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Finding the Fourth Proportional to 10,521.16, 14,526.54 and 6,544.06

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Solution

The fourth proportional to 10,521.16, 14,526.54 and 6,544.06 is: 9,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.16 : 14,526.54 = 6,544.06 : x
  2. Step 2: Convert to fraction form
    10,521.16/14,526.54 = 6,544.06/x
  3. Step 3: Cross multiply
    10,521.16x = 14,526.54 × 6,544.06
  4. Step 4: Simplify right side
    10,521.16x = 95,062,549.35
  5. Step 5: Solve for x
    x = 95,062,549.35/10,521.16
  6. Step 6: Final answer
    x = 9,035.37

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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.