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Finding the Fourth Proportional to 10,075.51, 13,902.94 and 5,598.95

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Solution

The fourth proportional to 10,075.51, 13,902.94 and 5,598.95 is: 7,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.51 : 13,902.94 = 5,598.95 : x
  2. Step 2: Convert to fraction form
    10,075.51/13,902.94 = 5,598.95/x
  3. Step 3: Cross multiply
    10,075.51x = 13,902.94 × 5,598.95
  4. Step 4: Simplify right side
    10,075.51x = 77,841,782.40
  5. Step 5: Solve for x
    x = 77,841,782.40/10,075.51
  6. Step 6: Final answer
    x = 7,725.84

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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.