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Finding the Fourth Proportional to 10,477.79, 14,458.74 and 5,762.07

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Solution

The fourth proportional to 10,477.79, 14,458.74 and 5,762.07 is: 7,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.79 : 14,458.74 = 5,762.07 : x
  2. Step 2: Convert to fraction form
    10,477.79/14,458.74 = 5,762.07/x
  3. Step 3: Cross multiply
    10,477.79x = 14,458.74 × 5,762.07
  4. Step 4: Simplify right side
    10,477.79x = 83,312,271.99
  5. Step 5: Solve for x
    x = 83,312,271.99/10,477.79
  6. Step 6: Final answer
    x = 7,951.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.