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Finding the Fourth Proportional to 10,526.58, 14,531.22 and 7,537.23

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Solution

The fourth proportional to 10,526.58, 14,531.22 and 7,537.23 is: 10,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.58 : 14,531.22 = 7,537.23 : x
  2. Step 2: Convert to fraction form
    10,526.58/14,531.22 = 7,537.23/x
  3. Step 3: Cross multiply
    10,526.58x = 14,531.22 × 7,537.23
  4. Step 4: Simplify right side
    10,526.58x = 109,525,147.32
  5. Step 5: Solve for x
    x = 109,525,147.32/10,526.58
  6. Step 6: Final answer
    x = 10,404.63

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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.