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Finding the Fourth Proportional to 10,075.29, 13,903.62 and 5,598.93

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Solution

The fourth proportional to 10,075.29, 13,903.62 and 5,598.93 is: 7,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.29 : 13,903.62 = 5,598.93 : x
  2. Step 2: Convert to fraction form
    10,075.29/13,903.62 = 5,598.93/x
  3. Step 3: Cross multiply
    10,075.29x = 13,903.62 × 5,598.93
  4. Step 4: Simplify right side
    10,075.29x = 77,845,374.36
  5. Step 5: Solve for x
    x = 77,845,374.36/10,075.29
  6. Step 6: Final answer
    x = 7,726.37

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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.