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Finding the Fourth Proportional to 7,004.58, 10,507.95 and 2,386.50

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Solution

The fourth proportional to 7,004.58, 10,507.95 and 2,386.50 is: 3,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.58 : 10,507.95 = 2,386.50 : x
  2. Step 2: Convert to fraction form
    7,004.58/10,507.95 = 2,386.50/x
  3. Step 3: Cross multiply
    7,004.58x = 10,507.95 × 2,386.50
  4. Step 4: Simplify right side
    7,004.58x = 25,077,222.68
  5. Step 5: Solve for x
    x = 25,077,222.68/7,004.58
  6. Step 6: Final answer
    x = 3,580.12

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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.