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Finding the Fourth Proportional to 10,525.94, 14,526.10 and 5,810.52

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Solution

The fourth proportional to 10,525.94, 14,526.10 and 5,810.52 is: 8,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.94 : 14,526.10 = 5,810.52 : x
  2. Step 2: Convert to fraction form
    10,525.94/14,526.10 = 5,810.52/x
  3. Step 3: Cross multiply
    10,525.94x = 14,526.10 × 5,810.52
  4. Step 4: Simplify right side
    10,525.94x = 84,404,194.57
  5. Step 5: Solve for x
    x = 84,404,194.57/10,525.94
  6. Step 6: Final answer
    x = 8,018.68

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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.