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Finding the Fourth Proportional to 11,256.96, 15,539.02 and 10,075.98

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Solution

The fourth proportional to 11,256.96, 15,539.02 and 10,075.98 is: 13,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.96 : 15,539.02 = 10,075.98 : x
  2. Step 2: Convert to fraction form
    11,256.96/15,539.02 = 10,075.98/x
  3. Step 3: Cross multiply
    11,256.96x = 15,539.02 × 10,075.98
  4. Step 4: Simplify right side
    11,256.96x = 156,570,854.74
  5. Step 5: Solve for x
    x = 156,570,854.74/11,256.96
  6. Step 6: Final answer
    x = 13,908.80

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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.