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Finding the Fourth Proportional to 10,854.78, 14,980.29 and 6,075.28

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Solution

The fourth proportional to 10,854.78, 14,980.29 and 6,075.28 is: 8,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.78 : 14,980.29 = 6,075.28 : x
  2. Step 2: Convert to fraction form
    10,854.78/14,980.29 = 6,075.28/x
  3. Step 3: Cross multiply
    10,854.78x = 14,980.29 × 6,075.28
  4. Step 4: Simplify right side
    10,854.78x = 91,009,444.22
  5. Step 5: Solve for x
    x = 91,009,444.22/10,854.78
  6. Step 6: Final answer
    x = 8,384.27

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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.