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Finding the Fourth Proportional to 10,524.88, 14,525.93 and 6,547.28

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Solution

The fourth proportional to 10,524.88, 14,525.93 and 6,547.28 is: 9,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.88 : 14,525.93 = 6,547.28 : x
  2. Step 2: Convert to fraction form
    10,524.88/14,525.93 = 6,547.28/x
  3. Step 3: Cross multiply
    10,524.88x = 14,525.93 × 6,547.28
  4. Step 4: Simplify right side
    10,524.88x = 95,105,274.71
  5. Step 5: Solve for x
    x = 95,105,274.71/10,524.88
  6. Step 6: Final answer
    x = 9,036.23

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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.