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Finding the Fourth Proportional to 10,075.19, 15,106.93 and 7,408.38

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Solution

The fourth proportional to 10,075.19, 15,106.93 and 7,408.38 is: 11,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.19 : 15,106.93 = 7,408.38 : x
  2. Step 2: Convert to fraction form
    10,075.19/15,106.93 = 7,408.38/x
  3. Step 3: Cross multiply
    10,075.19x = 15,106.93 × 7,408.38
  4. Step 4: Simplify right side
    10,075.19x = 111,917,809.76
  5. Step 5: Solve for x
    x = 111,917,809.76/10,075.19
  6. Step 6: Final answer
    x = 11,108.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.