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Finding the Fourth Proportional to 7,290.64, 10,928.91 and 2,356.93

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Solution

The fourth proportional to 7,290.64, 10,928.91 and 2,356.93 is: 3,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.64 : 10,928.91 = 2,356.93 : x
  2. Step 2: Convert to fraction form
    7,290.64/10,928.91 = 2,356.93/x
  3. Step 3: Cross multiply
    7,290.64x = 10,928.91 × 2,356.93
  4. Step 4: Simplify right side
    7,290.64x = 25,758,621.20
  5. Step 5: Solve for x
    x = 25,758,621.20/7,290.64
  6. Step 6: Final answer
    x = 3,533.11

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Why These Related Problems?

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