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Finding the Fourth Proportional to 10,526.84, 15,805.80 and 7,038.60

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Solution

The fourth proportional to 10,526.84, 15,805.80 and 7,038.60 is: 10,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.84 : 15,805.80 = 7,038.60 : x
  2. Step 2: Convert to fraction form
    10,526.84/15,805.80 = 7,038.60/x
  3. Step 3: Cross multiply
    10,526.84x = 15,805.80 × 7,038.60
  4. Step 4: Simplify right side
    10,526.84x = 111,250,703.88
  5. Step 5: Solve for x
    x = 111,250,703.88/10,526.84
  6. Step 6: Final answer
    x = 10,568.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.